Answered: The downward velocity of a bungee…

Name: Derive the equation.Cd, g: constants.t, m, V: variables.Cd, g: constan
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: Derive the equation.Cd, g: constants.t, m, V: variables.Cd, g: constants.t, m, V: variables. The downward velocity of a bungeejumper is given by the non-linearequation:gmtanhV Cdgcdv(t) =mv: velocityg: gravitational constantm: masscd: drag coefficien

Science

Physics

The downward velocity of a bungee jumper is given by the non-linear equation: gm tanh V Cd gCd v(t) = m

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section: Chapter Questions

Problem 6STP

See similar textbooks

Similar questions

The coefficient of kinetic friction between the box and the ramp is 0.15, the mass is 25.4 kg, and the angle is 15 degrees. What is the magnitude of the acceleration of the box in m/s2?
Given a drag coefficient of 0.42 kg/sec, the magnitude of the drag force (N) on a projectile moving with a speed of 8 m/s is
A skydiver is at an altitude of 1520 m. After 10.0 seconds of free fall, he opens his parachute and finds that the air resistance, FD , is given by the formula FD = −bv, where b is a constant and v is the velocity. If b = 0.750, and the mass of the skydiver is 82.0 kg, first set up differential equations for the velocity and the position, and then find: (a) the speed of the skydiver when the parachute opens, (b) the distance fallen before the parachute opens, (c) the terminal velocity after the parachute opens (find the limiting velocity), and (d) the time the skydiver is in the air after the parachute opens.
Two blocks A and B have a weight of 10 lb and 6 lb , respectively. They are resting on the incline for which the coefficients of static friction are uA = 0.15 and uB= 0.25. Determine the incline angle ?theta for which both blocks begin to slide. What is the friction force under each of the blocks when this occurs? The spring has a stiffness of k = 2lb lb/ft and is originally unstreched.
The 1.5 Mg = 1,500 kg sports car has a tractive force of F = 4.5 kN = 4,500 N. If it produces the velocitydescribed by v-t graph shown, plot the air resistance R versus t for this time period.
A person is skiing in a horizontal snow surface with a net acceleration of 0.2 meters per second per second. If his weight is 72 kg and his coefficient of dynamic friction is 0.05, determine his normal force.
A firefighter who weighs 150 lb slides down an infinitely long fire pole that exerts a frictional resistiveforce with magnitude proportional to her speed, with k-2.1 lb-s/ft. Assuming that she starts from rest, findher velocity as a function of time and find her terminal velocity. Don't forget to use the gravitationalconstant that comes from pounds.v(t) =Terminal Velocity =
A box of mass 15.7 kg slides down an inclined plane without friction. If the acceleration, a, of the box along the direction of the plane is 4.1 m/s2, what is the angle θ (in degrees) of the plane with respect to the horizontal?
A person with a mass of 80kg while dressed in a jump suit jumps from a plane while parachuting.They eventually reach a terminal speed of 60m/s. If you assume g = 10ms2 , = 1:21 kg m3 , what is the value of the product of constants cdA?
As shown below, if F = 60.0 N and M = 4.00 kg, what is the magnitude of the acceleration of the suspended object? All surfaces are frictionless.
A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball at time t (in seconds). After how many seconds will the ball impact the ground? Assume that the net force acting on the ball is modeled by m(dv/dt) = mg – kv, where m is the mass of the ball. Also, assume that there is no initial velocity and that the acceleration due to gravity g is 9.8 meters per second squared. Do not round off intermediate steps. Round off the final answer to two decimal places.
At the end of a roller coaster ride, the cars must slow to a stop, but the magnitude of the acceleration cannot exceed 1.3 g's. Given a car with a mass of 1,700 kg (including the passengers), what is the magnitude of the maximum allowable force (in N)?